SOLUTION: For a sample of size n=60, proportion p=0.35, and at a 95% confidence level, the lower bound of the proportion is... A. 0.229 B. 0.121 C. 0.175 D. 0.414

Algebra ->  Probability-and-statistics -> SOLUTION: For a sample of size n=60, proportion p=0.35, and at a 95% confidence level, the lower bound of the proportion is... A. 0.229 B. 0.121 C. 0.175 D. 0.414      Log On


   

Question 86399: For a sample of size n=60, proportion p=0.35, and at a 95% confidence level, the lower bound of the proportion is...

A. 0.229
B. 0.121
C. 0.175
D. 0.414
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For a sample of size n=60, proportion p-hat=0.35, and at a 95% confidence level, the lower bound of the proportion is...
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p-hat-E is the lower bound
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Since p-hat = 0.35 s=sqrt(0.35*0.65/60) = 0.06157
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For 95% confidence z* = 1.96
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Therefore E = 1.96*0.06157 = 0.1206899..
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Therefore lower bound = 0.35-0.1206899 = 0.22931..
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Cheers,
Stan H.